20267332807680 has 2816 divisors, whose sum is σ = 90753957888000. Its totient is φ = 4237469614080.

The previous prime is 20267332807633. The next prime is 20267332807681. The reversal of 20267332807680 is 8670823376202.

20267332807680 is a `hidden beast` number, since 2 + 0 + 267 + 33 + 280 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20267332807681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46167044901 + ... + 46167045339.

It is an arithmetic number, because the mean of its divisors is an integer number (32227968000).

Almost surely, 2^{20267332807680} is an apocalyptic number.

20267332807680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20267332807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45376978944000).

20267332807680 is an abundant number, since it is smaller than the sum of its proper divisors (70486625080320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20267332807680 is an equidigital number, since it uses as much as digits as its factorization.

20267332807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 20267332807680 in words is "twenty trillion, two hundred sixty-seven billion, three hundred thirty-two million, eight hundred seven thousand, six hundred eighty".